What probabilities should the doctor now assign

Assignment Help Basic Statistics

Reference no: EM13970098

1. Prove that if A and B are independent so are

(a) A and B˜.

(b) A˜ and B˜.

2. A doctor assumes that a patient has one of three diseases d1, d2, or d3. Before any test, he assumes an equal probability for each disease. He carries out a test that will be positive with probability .8 if the patient has d1, .6 if he has disease d2, and .4 if he has disease d3. Given that the outcome of the test was positive, what probabilities should the doctor now assign to the three possible diseases?

Reference no: EM13970098

Questions Cloud

Write a program to simulate model : Write a program to simulate this model, and see if you can make any predictions about the proportion of white balls in the urn after a large number of draws. Is there a tendency to have a large fraction of balls of the same color in the long run?

How might the techniques of cultural anthropology help you : How might the techniques, approaches, and knowledge of cultural anthropology help you to succeed in your career?

Create your own theory of personality development : In this paper, you will complete the assignment which you began in week three and create your own theory of personality development by synthesizing the concepts and constructs of all the theories that seem most accurate and appropriate to you and ..

Explain how the federal system of government works : Explore different perspectives on issues and questions about the U.S. government and national political processes. Describe the importance of an informed, effective citizenship for the national government and political processes.

What probabilities should the doctor now assign : What probabilities should the doctor now assign to the three possible diseases - Prove that if A and B are independent

Which pricing method does the producer prefer : Determine consumer surplus, producer surplus with a uniform price. Label these areas on the graph.

How does the given book relate in some way to your life : How does this book relate in some way to your life, or tell why you couldn't relate to this book. What do you think the author was attempting to do in this book? For example:

What is the probability that a family of two children : What is the probability that a family of two children has two boys given that it has at least one boy?

What is the probability that exactly two heads occur : What is the probability that exactly two heads occur, given that the first outcome was a head - the first outcome was a tail?

User Account

All Pages